TSTP Solution File: LCL640+1.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL640+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:53 EDT 2022
% Result : Theorem 1.59s 0.62s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 58
% Syntax : Number of formulae : 283 ( 12 unt; 0 def)
% Number of atoms : 2466 ( 0 equ)
% Maximal formula atoms : 174 ( 8 avg)
% Number of connectives : 3781 (1598 ~;1629 |; 501 &)
% ( 25 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 26 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 6 con; 0-1 aty)
% Number of variables : 1114 ( 885 !; 229 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1508,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f214,f438,f489,f502,f576,f630,f645,f649,f790,f792,f795,f830,f837,f945,f946,f947,f956,f1045,f1171,f1218,f1228,f1376,f1444,f1470,f1473,f1478,f1507]) ).
fof(f1507,plain,
~ spl32_96,
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1506,plain,
( $false
| ~ spl32_96 ),
inference(subsumption_resolution,[],[f1505,f95]) ).
fof(f95,plain,
r1(sK20,sK21),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ! [X1] :
( ~ r1(sK13,X1)
| ( ! [X2] :
( ( ~ p1(sK14(X2))
& r1(X2,sK14(X2)) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(sK15(X1),X7)
| ~ p1(X7) )
& r1(X1,sK15(X1))
& ~ p1(sK15(X1)) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ( r1(X9,sK16(X9))
& ~ p1(sK16(X9)) ) ) ) ) )
& ! [X11] :
( ~ r1(sK13,X11)
| ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| ( ( sP1(X13)
| ( r1(X13,sK17(X13))
& ! [X15] :
( ~ r1(sK17(X13),X15)
| ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
& ~ p1(sK17(X13)) ) )
& sP2(X13)
& sP3(X13)
& ! [X17] :
( ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X13,X17)
| ( r1(X17,sK18(X17))
& ~ p1(sK18(X17)) ) ) ) )
| ~ r1(X11,X12) ) )
& ! [X24] :
( p1(X24)
| ( p1(sK22(X24))
& ~ p1(sK23(X24))
& r1(sK22(X24),sK23(X24))
& r1(X24,sK22(X24)) )
| ~ r1(sK21,X24) )
& r1(sK21,sK24)
& ! [X28] :
( ~ r1(sK24,X28)
| p1(X28) )
& r1(sK20,sK21)
& r1(sK21,sK25)
& ~ p1(sK25)
& r1(sK19,sK20)
& r1(sK13,sK19)
& ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34)
| ( r1(X34,sK26(X34))
& ~ p1(sK26(X34)) ) )
& ( p1(X33)
| ! [X38] :
( ( r1(X38,sK27(X38))
& ~ p1(sK27(X38)) )
| ~ r1(X33,X38) )
| ( r1(X33,sK28(X33))
& ! [X41] :
( ~ r1(sK28(X33),X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) )
| ~ p1(X41) )
& ~ p1(sK28(X33)) ) ) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(sK13,X30) )
& ! [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ( ( ( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(sK29(X44),X46) )
& ~ p1(sK29(X44))
& r1(X44,sK29(X44)) )
| ! [X48] :
( ~ r1(X44,X48)
| ( ~ p1(sK30(X48))
& r1(X48,sK30(X48)) ) )
| p1(X44) )
& ! [X50] :
( ( ~ p1(sK31(X50))
& r1(X50,sK31(X50)) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ~ r1(X44,X50) ) ) )
| ~ r1(sK13,X43) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f33,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) ) ) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| ( ( sP1(X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
& ~ p1(X14) ) )
& sP2(X13)
& sP3(X13)
& ! [X17] :
( ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X13,X17)
| ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) ) ) )
| ~ r1(X11,X12) ) )
& ? [X21] :
( ? [X22] :
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(X22,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(X21,X22) )
& r1(X0,X21) )
& ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34)
| ? [X37] :
( r1(X34,X37)
& ~ p1(X37) ) )
& ( p1(X33)
| ! [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p1(X39) )
| ~ r1(X33,X38) )
| ? [X40] :
( r1(X33,X40)
& ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) )
| ~ p1(X41) )
& ~ p1(X40) ) ) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X0,X30) )
& ! [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ( ( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X44,X45) )
| ! [X48] :
( ~ r1(X44,X48)
| ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| p1(X44) )
& ! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X0,X43) ) )
=> ( ! [X1] :
( ~ r1(sK13,X1)
| ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) ) ) ) )
& ! [X11] :
( ~ r1(sK13,X11)
| ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| ( ( sP1(X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
& ~ p1(X14) ) )
& sP2(X13)
& sP3(X13)
& ! [X17] :
( ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X13,X17)
| ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) ) ) )
| ~ r1(X11,X12) ) )
& ? [X21] :
( ? [X22] :
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(X22,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(X21,X22) )
& r1(sK13,X21) )
& ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34)
| ? [X37] :
( r1(X34,X37)
& ~ p1(X37) ) )
& ( p1(X33)
| ! [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p1(X39) )
| ~ r1(X33,X38) )
| ? [X40] :
( r1(X33,X40)
& ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) )
| ~ p1(X41) )
& ~ p1(X40) ) ) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(sK13,X30) )
& ! [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ( ( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X44,X45) )
| ! [X48] :
( ~ r1(X44,X48)
| ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| p1(X44) )
& ! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ~ r1(X44,X50) ) ) )
| ~ r1(sK13,X43) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK14(X2))
& r1(X2,sK14(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X1] :
( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
=> ( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(sK15(X1),X7)
| ~ p1(X7) )
& r1(X1,sK15(X1))
& ~ p1(sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X9] :
( ? [X10] :
( r1(X9,X10)
& ~ p1(X10) )
=> ( r1(X9,sK16(X9))
& ~ p1(sK16(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X13] :
( ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
& ~ p1(X14) )
=> ( r1(X13,sK17(X13))
& ! [X15] :
( ~ r1(sK17(X13),X15)
| ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
& ~ p1(sK17(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X17] :
( ? [X20] :
( r1(X17,X20)
& ~ p1(X20) )
=> ( r1(X17,sK18(X17))
& ~ p1(sK18(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ? [X21] :
( ? [X22] :
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(X22,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(X21,X22) )
& r1(sK13,X21) )
=> ( ? [X22] :
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(X22,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(sK19,X22) )
& r1(sK13,sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X22] :
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(X22,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(sK19,X22) )
=> ( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(sK20,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(sK19,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(sK20,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
=> ( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(sK21,X24) )
& ? [X27] :
( r1(sK21,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(sK20,sK21)
& ? [X29] :
( r1(sK21,X29)
& ~ p1(X29) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X24] :
( ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
=> ( p1(sK22(X24))
& ? [X26] :
( ~ p1(X26)
& r1(sK22(X24),X26) )
& r1(X24,sK22(X24)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X24] :
( ? [X26] :
( ~ p1(X26)
& r1(sK22(X24),X26) )
=> ( ~ p1(sK23(X24))
& r1(sK22(X24),sK23(X24)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X27] :
( r1(sK21,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
=> ( r1(sK21,sK24)
& ! [X28] :
( ~ r1(sK24,X28)
| p1(X28) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X29] :
( r1(sK21,X29)
& ~ p1(X29) )
=> ( r1(sK21,sK25)
& ~ p1(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X34] :
( ? [X37] :
( r1(X34,X37)
& ~ p1(X37) )
=> ( r1(X34,sK26(X34))
& ~ p1(sK26(X34)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p1(X39) )
=> ( r1(X38,sK27(X38))
& ~ p1(sK27(X38)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X33] :
( ? [X40] :
( r1(X33,X40)
& ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) )
| ~ p1(X41) )
& ~ p1(X40) )
=> ( r1(X33,sK28(X33))
& ! [X41] :
( ~ r1(sK28(X33),X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) )
| ~ p1(X41) )
& ~ p1(sK28(X33)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X44] :
( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X44,X45) )
=> ( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(sK29(X44),X46) )
& ~ p1(sK29(X44))
& r1(X44,sK29(X44)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X48] :
( ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
=> ( ~ p1(sK30(X48))
& r1(X48,sK30(X48)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
=> ( ~ p1(sK31(X50))
& r1(X50,sK31(X50)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) ) ) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ! [X13] :
( ~ r1(X12,X13)
| ( ( sP1(X13)
| ? [X14] :
( r1(X13,X14)
& ! [X15] :
( ~ r1(X14,X15)
| ~ p1(X15)
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16) ) )
& ~ p1(X14) ) )
& sP2(X13)
& sP3(X13)
& ! [X17] :
( ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X13,X17)
| ? [X20] :
( r1(X17,X20)
& ~ p1(X20) ) ) ) )
| ~ r1(X11,X12) ) )
& ? [X21] :
( ? [X22] :
( ? [X23] :
( ! [X24] :
( p1(X24)
| ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| ~ r1(X23,X24) )
& ? [X27] :
( r1(X23,X27)
& ! [X28] :
( ~ r1(X27,X28)
| p1(X28) ) )
& r1(X22,X23)
& ? [X29] :
( r1(X23,X29)
& ~ p1(X29) ) )
& r1(X21,X22) )
& r1(X0,X21) )
& ! [X30] :
( ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ! [X34] :
( ! [X35] :
( ! [X36] :
( ~ r1(X35,X36)
| p1(X36) )
| ~ r1(X34,X35) )
| ~ r1(X33,X34)
| ? [X37] :
( r1(X34,X37)
& ~ p1(X37) ) )
& ( p1(X33)
| ! [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p1(X39) )
| ~ r1(X33,X38) )
| ? [X40] :
( r1(X33,X40)
& ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p1(X42) )
| ~ p1(X41) )
& ~ p1(X40) ) ) ) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X0,X30) )
& ! [X43] :
( ! [X44] :
( ~ r1(X43,X44)
| ( ( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X44,X45) )
| ! [X48] :
( ~ r1(X44,X48)
| ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| p1(X44) )
& ! [X50] :
( ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
| ! [X52] :
( ~ r1(X50,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p1(X53) ) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X0,X43) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) ) ) ) )
& ! [X31] :
( ~ r1(X0,X31)
| ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP1(X33)
| ? [X57] :
( r1(X33,X57)
& ! [X58] :
( ~ r1(X57,X58)
| ~ p1(X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ~ p1(X57) ) )
& sP2(X33)
& sP3(X33)
& ! [X49] :
( ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X49,X51) )
| ~ r1(X33,X49)
| ? [X50] :
( r1(X49,X50)
& ~ p1(X50) ) ) ) )
| ~ r1(X31,X32) ) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X27] :
( p1(X27)
| ? [X28] :
( p1(X28)
& ? [X29] :
( ~ p1(X29)
& r1(X28,X29) )
& r1(X27,X28) )
| ~ r1(X24,X27) )
& ? [X25] :
( r1(X24,X25)
& ! [X26] :
( ~ r1(X25,X26)
| p1(X26) ) )
& r1(X23,X24)
& ? [X30] :
( r1(X24,X30)
& ~ p1(X30) ) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ~ r1(X62,X63)
| ( ! [X64] :
( ! [X66] :
( ! [X67] :
( ~ r1(X66,X67)
| p1(X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64)
| ? [X65] :
( r1(X64,X65)
& ~ p1(X65) ) )
& ( p1(X63)
| ! [X71] :
( ? [X72] :
( r1(X71,X72)
& ~ p1(X72) )
| ~ r1(X63,X71) )
| ? [X68] :
( r1(X63,X68)
& ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ p1(X69) )
& ~ p1(X68) ) ) ) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) )
& ! [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ( ( ? [X15] :
( ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
& ~ p1(X15)
& r1(X12,X15) )
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) )
| p1(X12) )
& ! [X18] :
( ? [X19] :
( ~ p1(X19)
& r1(X18,X19) )
| ! [X20] :
( ~ r1(X18,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) ) )
| ~ r1(X12,X18) ) ) )
| ~ r1(X0,X11) ) ),
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X33] :
( ? [X39] :
( r1(X33,X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) ) )
| ( ? [X43] :
( ~ p1(X43)
& r1(X40,X43) )
& p1(X40) )
| ~ r1(X39,X40) )
& ? [X44] :
( ~ p1(X44)
& r1(X39,X44) )
& p1(X39) )
| ~ sP0(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X33] :
( ! [X53] :
( ~ r1(X33,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ? [X55] :
( p1(X55)
& r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p1(X56) ) )
| p1(X54) ) )
| ~ sP1(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X33] :
( p1(X33)
| ! [X37] :
( ~ r1(X33,X37)
| ? [X38] :
( ~ p1(X38)
& r1(X37,X38) ) )
| ? [X34] :
( r1(X33,X34)
& ~ p1(X34)
& ! [X35] :
( ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35)
| ~ p1(X35) ) )
| ~ sP2(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X33] :
( ! [X46] :
( ~ r1(X33,X46)
| ? [X47] :
( ? [X48] :
( r1(X47,X48)
& ~ p1(X48) )
& p1(X47)
& r1(X46,X47) ) )
| ! [X45] :
( p1(X45)
| ~ r1(X33,X45) )
| ~ p1(X33)
| sP0(X33)
| ~ sP3(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) ) ) ) )
& ! [X31] :
( ~ r1(X0,X31)
| ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X53] :
( ~ r1(X33,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ? [X55] :
( p1(X55)
& r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p1(X56) ) )
| p1(X54) ) )
| ? [X57] :
( r1(X33,X57)
& ! [X58] :
( ~ r1(X57,X58)
| ~ p1(X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ~ p1(X57) ) )
& ( p1(X33)
| ! [X37] :
( ~ r1(X33,X37)
| ? [X38] :
( ~ p1(X38)
& r1(X37,X38) ) )
| ? [X34] :
( r1(X33,X34)
& ~ p1(X34)
& ! [X35] :
( ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35)
| ~ p1(X35) ) ) )
& ( ! [X46] :
( ~ r1(X33,X46)
| ? [X47] :
( ? [X48] :
( r1(X47,X48)
& ~ p1(X48) )
& p1(X47)
& r1(X46,X47) ) )
| ! [X45] :
( p1(X45)
| ~ r1(X33,X45) )
| ~ p1(X33)
| ? [X39] :
( r1(X33,X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) ) )
| ( ? [X43] :
( ~ p1(X43)
& r1(X40,X43) )
& p1(X40) )
| ~ r1(X39,X40) )
& ? [X44] :
( ~ p1(X44)
& r1(X39,X44) )
& p1(X39) ) )
& ! [X49] :
( ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X49,X51) )
| ~ r1(X33,X49)
| ? [X50] :
( r1(X49,X50)
& ~ p1(X50) ) ) ) )
| ~ r1(X31,X32) ) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X27] :
( p1(X27)
| ? [X28] :
( p1(X28)
& ? [X29] :
( ~ p1(X29)
& r1(X28,X29) )
& r1(X27,X28) )
| ~ r1(X24,X27) )
& ? [X25] :
( r1(X24,X25)
& ! [X26] :
( ~ r1(X25,X26)
| p1(X26) ) )
& r1(X23,X24)
& ? [X30] :
( r1(X24,X30)
& ~ p1(X30) ) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ~ r1(X62,X63)
| ( ! [X64] :
( ! [X66] :
( ! [X67] :
( ~ r1(X66,X67)
| p1(X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64)
| ? [X65] :
( r1(X64,X65)
& ~ p1(X65) ) )
& ( p1(X63)
| ! [X71] :
( ? [X72] :
( r1(X71,X72)
& ~ p1(X72) )
| ~ r1(X63,X71) )
| ? [X68] :
( r1(X63,X68)
& ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ p1(X69) )
& ~ p1(X68) ) ) ) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) )
& ! [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ( ( ? [X15] :
( ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
& ~ p1(X15)
& r1(X12,X15) )
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) )
| p1(X12) )
& ! [X18] :
( ? [X19] :
( ~ p1(X19)
& r1(X18,X19) )
| ! [X20] :
( ~ r1(X18,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) ) )
| ~ r1(X12,X18) ) ) )
| ~ r1(X0,X11) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ~ r1(X62,X63)
| ( ! [X64] :
( ! [X66] :
( ! [X67] :
( ~ r1(X66,X67)
| p1(X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64)
| ? [X65] :
( r1(X64,X65)
& ~ p1(X65) ) )
& ( p1(X63)
| ! [X71] :
( ? [X72] :
( r1(X71,X72)
& ~ p1(X72) )
| ~ r1(X63,X71) )
| ? [X68] :
( r1(X63,X68)
& ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ p1(X69) )
& ~ p1(X68) ) ) ) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) )
& ! [X31] :
( ~ r1(X0,X31)
| ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X53] :
( ~ r1(X33,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ? [X55] :
( p1(X55)
& r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p1(X56) ) )
| p1(X54) ) )
| ? [X57] :
( r1(X33,X57)
& ! [X58] :
( ~ r1(X57,X58)
| ~ p1(X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
& ~ p1(X57) ) )
& ( p1(X33)
| ! [X37] :
( ~ r1(X33,X37)
| ? [X38] :
( ~ p1(X38)
& r1(X37,X38) ) )
| ? [X34] :
( r1(X33,X34)
& ~ p1(X34)
& ! [X35] :
( ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35)
| ~ p1(X35) ) ) )
& ( ! [X46] :
( ~ r1(X33,X46)
| ? [X47] :
( ? [X48] :
( r1(X47,X48)
& ~ p1(X48) )
& p1(X47)
& r1(X46,X47) ) )
| ! [X45] :
( p1(X45)
| ~ r1(X33,X45) )
| ~ p1(X33)
| ? [X39] :
( r1(X33,X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) ) )
| ( ? [X43] :
( ~ p1(X43)
& r1(X40,X43) )
& p1(X40) )
| ~ r1(X39,X40) )
& ? [X44] :
( ~ p1(X44)
& r1(X39,X44) )
& p1(X39) ) )
& ! [X49] :
( ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X49,X51) )
| ~ r1(X33,X49)
| ? [X50] :
( r1(X49,X50)
& ~ p1(X50) ) ) ) )
| ~ r1(X31,X32) ) )
& ! [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ( ( ? [X15] :
( ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
& ~ p1(X15)
& r1(X12,X15) )
| ! [X13] :
( ~ r1(X12,X13)
| ? [X14] :
( ~ p1(X14)
& r1(X13,X14) ) )
| p1(X12) )
& ! [X18] :
( ? [X19] :
( ~ p1(X19)
& r1(X18,X19) )
| ! [X20] :
( ~ r1(X18,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) ) )
| ~ r1(X12,X18) ) ) )
| ~ r1(X0,X11) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ! [X2] :
( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) )
& r1(X1,X6)
& ~ p1(X6) )
| p1(X1)
| ! [X9] :
( ~ r1(X1,X9)
| ? [X10] :
( r1(X9,X10)
& ~ p1(X10) ) ) ) ) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X27] :
( p1(X27)
| ? [X28] :
( p1(X28)
& ? [X29] :
( ~ p1(X29)
& r1(X28,X29) )
& r1(X27,X28) )
| ~ r1(X24,X27) )
& ? [X25] :
( r1(X24,X25)
& ! [X26] :
( ~ r1(X25,X26)
| p1(X26) ) )
& r1(X23,X24)
& ? [X30] :
( r1(X24,X30)
& ~ p1(X30) ) )
& r1(X22,X23) )
& r1(X0,X22) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X60] :
( ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ( ! [X64] :
( ! [X66] :
( ! [X67] :
( ~ r1(X66,X67)
| p1(X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64)
| ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) ) )
& ( ! [X71] :
( ~ ! [X72] :
( p1(X72)
| ~ r1(X71,X72) )
| ~ r1(X63,X71) )
| ~ ! [X68] :
( ~ ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ p1(X69) )
| p1(X68)
| ~ r1(X63,X68) )
| p1(X63) ) )
| ~ r1(X62,X63) ) ) )
| ~ r1(X0,X60) )
| ~ ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X53] :
( ! [X54] :
( ~ r1(X53,X54)
| ~ ! [X55] :
( ~ p1(X55)
| ~ r1(X54,X55)
| ! [X56] :
( p1(X56)
| ~ r1(X55,X56) ) )
| p1(X54) )
| ~ r1(X33,X53) )
| ~ ! [X57] :
( ~ ! [X58] :
( ~ r1(X57,X58)
| ~ p1(X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ~ r1(X33,X57)
| p1(X57) ) )
& ( ! [X37] :
( ~ r1(X33,X37)
| ~ ! [X38] :
( p1(X38)
| ~ r1(X37,X38) ) )
| p1(X33)
| ~ ! [X34] :
( p1(X34)
| ~ ! [X35] :
( ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35)
| ~ p1(X35) )
| ~ r1(X33,X34) ) )
& ( ~ ! [X39] :
( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) ) )
| ~ r1(X39,X40)
| ~ ( ~ p1(X40)
| ! [X43] :
( ~ r1(X40,X43)
| p1(X43) ) ) )
| ~ p1(X39)
| ~ r1(X33,X39)
| ! [X44] :
( p1(X44)
| ~ r1(X39,X44) ) )
| ! [X45] :
( p1(X45)
| ~ r1(X33,X45) )
| ~ p1(X33)
| ! [X46] :
( ~ r1(X33,X46)
| ~ ! [X47] :
( ~ p1(X47)
| ~ r1(X46,X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) ) ) ) )
& ! [X49] :
( ~ r1(X33,X49)
| ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X49,X51) )
| ~ ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
| ~ ( ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ( ! [X18] :
( ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ! [X20] :
( ~ r1(X18,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) ) )
| ~ r1(X12,X18) )
& ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ ! [X15] :
( p1(X15)
| ~ ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) )
| p1(X12) ) ) ) )
& ! [X1] :
( ( ( p1(X1)
| ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ r1(X1,X9) )
| ~ ! [X6] :
( p1(X6)
| ~ r1(X1,X6)
| ~ ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ ! [X5] :
( ~ r1(X2,X5)
| p1(X5) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
& ~ ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X30] :
( ~ r1(X24,X30)
| p1(X30) )
| ~ ! [X27] :
( ~ r1(X24,X27)
| ~ ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| p1(X27) )
| ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| p1(X26) ) ) ) ) ) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X60] :
( ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| ! [X63] :
( ( ! [X64] :
( ! [X66] :
( ! [X67] :
( ~ r1(X66,X67)
| p1(X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64)
| ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) ) )
& ( ! [X71] :
( ~ ! [X72] :
( p1(X72)
| ~ r1(X71,X72) )
| ~ r1(X63,X71) )
| ~ ! [X68] :
( ~ ! [X69] :
( ~ r1(X68,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p1(X70) )
| ~ p1(X69) )
| p1(X68)
| ~ r1(X63,X68) )
| p1(X63) ) )
| ~ r1(X62,X63) ) ) )
| ~ r1(X0,X60) )
| ~ ! [X31] :
( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X53] :
( ! [X54] :
( ~ r1(X53,X54)
| ~ ! [X55] :
( ~ p1(X55)
| ~ r1(X54,X55)
| ! [X56] :
( p1(X56)
| ~ r1(X55,X56) ) )
| p1(X54) )
| ~ r1(X33,X53) )
| ~ ! [X57] :
( ~ ! [X58] :
( ~ r1(X57,X58)
| ~ p1(X58)
| ! [X59] :
( ~ r1(X58,X59)
| p1(X59) ) )
| ~ r1(X33,X57)
| p1(X57) ) )
& ( ! [X37] :
( ~ r1(X33,X37)
| ~ ! [X38] :
( p1(X38)
| ~ r1(X37,X38) ) )
| p1(X33)
| ~ ! [X34] :
( p1(X34)
| ~ ! [X35] :
( ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35)
| ~ p1(X35) )
| ~ r1(X33,X34) ) )
& ( ~ ! [X39] :
( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) ) )
| ~ r1(X39,X40)
| ~ ( ~ p1(X40)
| ! [X43] :
( ~ r1(X40,X43)
| p1(X43) ) ) )
| ~ p1(X39)
| ~ r1(X33,X39)
| ! [X44] :
( p1(X44)
| ~ r1(X39,X44) ) )
| ! [X45] :
( p1(X45)
| ~ r1(X33,X45) )
| ~ p1(X33)
| ! [X46] :
( ~ r1(X33,X46)
| ~ ! [X47] :
( ~ p1(X47)
| ~ r1(X46,X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) ) ) ) )
& ! [X49] :
( ~ r1(X33,X49)
| ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X49,X51) )
| ~ ! [X50] :
( p1(X50)
| ~ r1(X49,X50) ) ) ) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
| ~ ( ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ( ! [X18] :
( ~ ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ! [X20] :
( ~ r1(X18,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) ) )
| ~ r1(X12,X18) )
& ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ ! [X15] :
( p1(X15)
| ~ ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) )
| p1(X12) ) ) ) )
& ! [X1] :
( ( ( p1(X1)
| ! [X9] :
( ~ ! [X10] :
( ~ r1(X9,X10)
| p1(X10) )
| ~ r1(X1,X9) )
| ~ ! [X6] :
( p1(X6)
| ~ r1(X1,X6)
| ~ ! [X7] :
( ! [X8] :
( ~ r1(X7,X8)
| p1(X8) )
| ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X2] :
( ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ ! [X5] :
( ~ r1(X2,X5)
| p1(X5) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) )
& ~ ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X30] :
( ~ r1(X24,X30)
| p1(X30) )
| ~ ! [X27] :
( ~ r1(X24,X27)
| ~ ! [X28] :
( ~ p1(X28)
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| p1(X27) )
| ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| p1(X26) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ r1(X1,X0) )
| p1(X1) ) )
& ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ r1(X1,X0) )
| ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) )
| ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0) ) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p1(X0) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p1(X0) ) )
| ~ r1(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ r1(X1,X0) )
| p1(X1) ) )
& ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0)
| ~ r1(X1,X0) )
| ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ p1(X1) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) )
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p1(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) ) ) )
| ~ ! [X0] :
( p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ~ r1(X1,X0) ) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p1(X0) )
| p1(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| p1(X0) ) )
| ~ r1(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1505,plain,
( ~ r1(sK20,sK21)
| ~ spl32_96 ),
inference(resolution,[],[f1504,f92]) ).
fof(f92,plain,
r1(sK19,sK20),
inference(cnf_transformation,[],[f53]) ).
fof(f1504,plain,
( ! [X0] :
( ~ r1(sK19,X0)
| ~ r1(X0,sK21) )
| ~ spl32_96 ),
inference(resolution,[],[f684,f91]) ).
fof(f91,plain,
r1(sK13,sK19),
inference(cnf_transformation,[],[f53]) ).
fof(f684,plain,
( ! [X3,X1] :
( ~ r1(sK13,X3)
| ~ r1(X1,sK21)
| ~ r1(X3,X1) )
| ~ spl32_96 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl32_96
<=> ! [X1,X3] :
( ~ r1(X3,X1)
| ~ r1(sK13,X3)
| ~ r1(X1,sK21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
fof(f1478,plain,
( spl32_7
| spl32_96
| spl32_129
| ~ spl32_26
| ~ spl32_27 ),
inference(avatar_split_clause,[],[f1477,f276,f271,f962,f683,f162]) ).
fof(f162,plain,
( spl32_7
<=> sP1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f962,plain,
( spl32_129
<=> ! [X4] :
( p1(X4)
| ~ r1(sK22(sK17(sK21)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_129])]) ).
fof(f271,plain,
( spl32_26
<=> r1(sK17(sK21),sK22(sK17(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f276,plain,
( spl32_27
<=> p1(sK22(sK17(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f1477,plain,
( ! [X2,X3,X4] :
( ~ r1(sK22(sK17(sK21)),X4)
| p1(X4)
| ~ r1(X3,sK21)
| sP1(sK21)
| ~ r1(X2,X3)
| ~ r1(sK13,X2) )
| ~ spl32_26
| ~ spl32_27 ),
inference(subsumption_resolution,[],[f958,f278]) ).
fof(f278,plain,
( p1(sK22(sK17(sK21)))
| ~ spl32_27 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f958,plain,
( ! [X2,X3,X4] :
( ~ r1(sK22(sK17(sK21)),X4)
| ~ r1(X3,sK21)
| sP1(sK21)
| ~ r1(X2,X3)
| ~ p1(sK22(sK17(sK21)))
| ~ r1(sK13,X2)
| p1(X4) )
| ~ spl32_26 ),
inference(resolution,[],[f273,f107]) ).
fof(f107,plain,
! [X11,X16,X15,X12,X13] :
( ~ r1(sK17(X13),X15)
| ~ r1(X11,X12)
| ~ r1(sK13,X11)
| ~ r1(X12,X13)
| ~ p1(X15)
| sP1(X13)
| ~ r1(X15,X16)
| p1(X16) ),
inference(cnf_transformation,[],[f53]) ).
fof(f273,plain,
( r1(sK17(sK21),sK22(sK17(sK21)))
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f1473,plain,
( spl32_54
| ~ spl32_55
| spl32_56 ),
inference(avatar_split_clause,[],[f1472,f435,f432,f428]) ).
fof(f428,plain,
( spl32_54
<=> r1(sK21,sK7(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f432,plain,
( spl32_55
<=> ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK21,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f435,plain,
( spl32_56
<=> p1(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f1472,plain,
( r1(sK21,sK7(sK21))
| ~ spl32_55
| spl32_56 ),
inference(subsumption_resolution,[],[f1471,f436]) ).
fof(f436,plain,
( ~ p1(sK21)
| spl32_56 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1471,plain,
( p1(sK21)
| r1(sK21,sK7(sK21))
| ~ spl32_55 ),
inference(subsumption_resolution,[],[f1436,f141]) ).
fof(f141,plain,
sP2(sK21),
inference(resolution,[],[f139,f95]) ).
fof(f139,plain,
! [X0] :
( ~ r1(sK20,X0)
| sP2(X0) ),
inference(resolution,[],[f136,f92]) ).
fof(f136,plain,
! [X0,X1] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| sP2(X1) ),
inference(resolution,[],[f105,f91]) ).
fof(f105,plain,
! [X11,X12,X13] :
( ~ r1(sK13,X11)
| ~ r1(X11,X12)
| sP2(X13)
| ~ r1(X12,X13) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1436,plain,
( ~ sP2(sK21)
| r1(sK21,sK7(sK21))
| p1(sK21)
| ~ spl32_55 ),
inference(resolution,[],[f1411,f97]) ).
fof(f97,plain,
r1(sK21,sK24),
inference(cnf_transformation,[],[f53]) ).
fof(f1411,plain,
( ! [X3] :
( ~ r1(X3,sK24)
| r1(X3,sK7(X3))
| p1(X3)
| ~ sP2(X3) )
| ~ spl32_55 ),
inference(resolution,[],[f1401,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ p1(sK6(X1))
| r1(X0,sK7(X0))
| ~ r1(X0,X1)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) ) )
| ( r1(X0,sK7(X0))
& ~ p1(sK7(X0))
& ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(sK7(X0),X4)
| ~ p1(X4) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f18,f20,f19]) ).
fof(f19,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( r1(X0,X3)
& ~ p1(X3)
& ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4)
| ~ p1(X4) ) )
=> ( r1(X0,sK7(X0))
& ~ p1(sK7(X0))
& ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(sK7(X0),X4)
| ~ p1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ? [X3] :
( r1(X0,X3)
& ~ p1(X3)
& ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4)
| ~ p1(X4) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X33] :
( p1(X33)
| ! [X37] :
( ~ r1(X33,X37)
| ? [X38] :
( ~ p1(X38)
& r1(X37,X38) ) )
| ? [X34] :
( r1(X33,X34)
& ~ p1(X34)
& ! [X35] :
( ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35)
| ~ p1(X35) ) )
| ~ sP2(X33) ),
inference(nnf_transformation,[],[f9]) ).
fof(f1401,plain,
( p1(sK6(sK24))
| ~ spl32_55 ),
inference(resolution,[],[f1396,f96]) ).
fof(f96,plain,
! [X28] :
( ~ r1(sK24,X28)
| p1(X28) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1396,plain,
( r1(sK24,sK6(sK24))
| ~ spl32_55 ),
inference(resolution,[],[f433,f97]) ).
fof(f433,plain,
( ! [X0] :
( ~ r1(sK21,X0)
| r1(X0,sK6(X0)) )
| ~ spl32_55 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1470,plain,
( ~ spl32_55
| spl32_56
| ~ spl32_64 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1469,plain,
( $false
| ~ spl32_55
| spl32_56
| ~ spl32_64 ),
inference(subsumption_resolution,[],[f1468,f97]) ).
fof(f1468,plain,
( ~ r1(sK21,sK24)
| ~ spl32_55
| spl32_56
| ~ spl32_64 ),
inference(resolution,[],[f1467,f1401]) ).
fof(f1467,plain,
( ! [X1] :
( ~ p1(sK6(X1))
| ~ r1(sK21,X1) )
| spl32_56
| ~ spl32_64 ),
inference(subsumption_resolution,[],[f1466,f141]) ).
fof(f1466,plain,
( ! [X1] :
( ~ p1(sK6(X1))
| ~ sP2(sK21)
| ~ r1(sK21,X1) )
| spl32_56
| ~ spl32_64 ),
inference(subsumption_resolution,[],[f1465,f436]) ).
fof(f1465,plain,
( ! [X1] :
( ~ p1(sK6(X1))
| ~ r1(sK21,X1)
| p1(sK21)
| ~ sP2(sK21) )
| ~ spl32_64 ),
inference(resolution,[],[f480,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| p1(X0)
| ~ p1(sK6(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f480,plain,
( p1(sK7(sK21))
| ~ spl32_64 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl32_64
<=> p1(sK7(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
fof(f1444,plain,
( spl32_105
| ~ spl32_55
| spl32_56
| ~ spl32_66
| ~ spl32_70 ),
inference(avatar_split_clause,[],[f1443,f504,f486,f435,f432,f744]) ).
fof(f744,plain,
( spl32_105
<=> ! [X2] :
( ~ r1(sK22(sK7(sK21)),X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).
fof(f486,plain,
( spl32_66
<=> r1(sK7(sK21),sK22(sK7(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f504,plain,
( spl32_70
<=> p1(sK22(sK7(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).
fof(f1443,plain,
( ! [X1] :
( p1(X1)
| ~ r1(sK22(sK7(sK21)),X1) )
| ~ spl32_55
| spl32_56
| ~ spl32_66
| ~ spl32_70 ),
inference(subsumption_resolution,[],[f1441,f506]) ).
fof(f506,plain,
( p1(sK22(sK7(sK21)))
| ~ spl32_70 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f1441,plain,
( ! [X1] :
( ~ p1(sK22(sK7(sK21)))
| ~ r1(sK22(sK7(sK21)),X1)
| p1(X1) )
| ~ spl32_55
| spl32_56
| ~ spl32_66 ),
inference(resolution,[],[f1439,f488]) ).
fof(f488,plain,
( r1(sK7(sK21),sK22(sK7(sK21)))
| ~ spl32_66 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f1439,plain,
( ! [X0,X1] :
( ~ r1(sK7(sK21),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl32_55
| spl32_56 ),
inference(subsumption_resolution,[],[f1438,f141]) ).
fof(f1438,plain,
( ! [X0,X1] :
( ~ r1(X1,X0)
| p1(X0)
| ~ r1(sK7(sK21),X1)
| ~ p1(X1)
| ~ sP2(sK21) )
| ~ spl32_55
| spl32_56 ),
inference(subsumption_resolution,[],[f1437,f436]) ).
fof(f1437,plain,
( ! [X0,X1] :
( ~ r1(sK7(sK21),X1)
| ~ r1(X1,X0)
| p1(X0)
| ~ p1(X1)
| p1(sK21)
| ~ sP2(sK21) )
| ~ spl32_55 ),
inference(resolution,[],[f1410,f97]) ).
fof(f1410,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK24)
| p1(X1)
| ~ r1(X2,X1)
| p1(X0)
| ~ sP2(X0)
| ~ r1(sK7(X0),X2)
| ~ p1(X2) )
| ~ spl32_55 ),
inference(resolution,[],[f1401,f61]) ).
fof(f61,plain,
! [X0,X1,X4,X5] :
( ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X5)
| ~ sP2(X0)
| p1(X0)
| ~ r1(X4,X5)
| ~ p1(X4)
| ~ r1(sK7(X0),X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f1376,plain,
( ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(subsumption_resolution,[],[f1374,f164]) ).
fof(f164,plain,
( sP1(sK21)
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f1374,plain,
( ~ sP1(sK21)
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(resolution,[],[f1373,f1174]) ).
fof(f1174,plain,
( r1(sK21,sK10(sK21))
| ~ spl32_61 ),
inference(resolution,[],[f460,f74]) ).
fof(f74,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( r1(X0,sK10(X0))
& ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) ) )
| ( ~ p1(sK11(X2))
& r1(X2,sK11(X2))
& p1(X2) )
| ~ r1(sK10(X0),X2) )
& ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0))
& p1(sK10(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f28,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) ) )
| ( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
& p1(X2) )
| ~ r1(X1,X2) )
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& p1(X1) )
=> ( r1(X0,sK10(X0))
& ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) ) )
| ( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
& p1(X2) )
| ~ r1(sK10(X0),X2) )
& ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
& p1(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X2] :
( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
=> ( ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
=> ( ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) ) )
| ( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
& p1(X2) )
| ~ r1(X1,X2) )
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& p1(X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X33] :
( ? [X39] :
( r1(X33,X39)
& ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) ) )
| ( ? [X43] :
( ~ p1(X43)
& r1(X40,X43) )
& p1(X40) )
| ~ r1(X39,X40) )
& ? [X44] :
( ~ p1(X44)
& r1(X39,X44) )
& p1(X39) )
| ~ sP0(X33) ),
inference(nnf_transformation,[],[f7]) ).
fof(f460,plain,
( sP0(sK21)
| ~ spl32_61 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl32_61
<=> sP0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
fof(f1373,plain,
( ! [X0] :
( ~ r1(X0,sK10(sK21))
| ~ sP1(X0) )
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(subsumption_resolution,[],[f1372,f460]) ).
fof(f1372,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP0(sK21)
| ~ r1(X0,sK10(sK21)) )
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(resolution,[],[f1356,f69]) ).
fof(f69,plain,
! [X0] :
( r1(sK10(X0),sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1356,plain,
( ! [X0,X1] :
( ~ r1(X0,sK12(sK21))
| ~ r1(X1,X0)
| ~ sP1(X1) )
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(subsumption_resolution,[],[f1355,f1213]) ).
fof(f1213,plain,
( ~ p1(sK12(sK21))
| spl32_157 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1212,plain,
( spl32_157
<=> p1(sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_157])]) ).
fof(f1355,plain,
( ! [X0,X1] :
( ~ r1(X0,sK12(sK21))
| ~ sP1(X1)
| ~ r1(X1,X0)
| p1(sK12(sK21)) )
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(resolution,[],[f1347,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ p1(sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( p1(sK8(X2))
& r1(X2,sK8(X2))
& r1(sK8(X2),sK9(X2))
& ~ p1(sK9(X2)) )
| p1(X2) ) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f23,f25,f24]) ).
fof(f24,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) )
=> ( p1(sK8(X2))
& r1(X2,sK8(X2))
& ? [X4] :
( r1(sK8(X2),X4)
& ~ p1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X2] :
( ? [X4] :
( r1(sK8(X2),X4)
& ~ p1(X4) )
=> ( r1(sK8(X2),sK9(X2))
& ~ p1(sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( p1(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p1(X4) ) )
| p1(X2) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X33] :
( ! [X53] :
( ~ r1(X33,X53)
| ! [X54] :
( ~ r1(X53,X54)
| ? [X55] :
( p1(X55)
& r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p1(X56) ) )
| p1(X54) ) )
| ~ sP1(X33) ),
inference(nnf_transformation,[],[f8]) ).
fof(f1347,plain,
( p1(sK9(sK12(sK21)))
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(resolution,[],[f1321,f1316]) ).
fof(f1316,plain,
( r1(sK8(sK12(sK21)),sK9(sK12(sK21)))
| ~ spl32_7
| ~ spl32_61
| spl32_157 ),
inference(subsumption_resolution,[],[f1315,f460]) ).
fof(f1315,plain,
( ~ sP0(sK21)
| r1(sK8(sK12(sK21)),sK9(sK12(sK21)))
| ~ spl32_7
| ~ spl32_61
| spl32_157 ),
inference(subsumption_resolution,[],[f1313,f1213]) ).
fof(f1313,plain,
( r1(sK8(sK12(sK21)),sK9(sK12(sK21)))
| p1(sK12(sK21))
| ~ sP0(sK21)
| ~ spl32_7
| ~ spl32_61 ),
inference(resolution,[],[f1195,f69]) ).
fof(f1195,plain,
( ! [X6] :
( ~ r1(sK10(sK21),X6)
| p1(X6)
| r1(sK8(X6),sK9(X6)) )
| ~ spl32_7
| ~ spl32_61 ),
inference(resolution,[],[f1174,f1046]) ).
fof(f1046,plain,
( ! [X0,X1] :
( ~ r1(sK21,X0)
| p1(X1)
| ~ r1(X0,X1)
| r1(sK8(X1),sK9(X1)) )
| ~ spl32_7 ),
inference(resolution,[],[f164,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,X2)
| r1(sK8(X2),sK9(X2))
| ~ r1(X0,X1)
| p1(X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f1321,plain,
( ! [X0] :
( ~ r1(sK8(sK12(sK21)),X0)
| p1(X0) )
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(subsumption_resolution,[],[f1319,f1292]) ).
fof(f1292,plain,
( p1(sK8(sK12(sK21)))
| ~ spl32_7
| ~ spl32_61
| spl32_157 ),
inference(subsumption_resolution,[],[f1291,f1213]) ).
fof(f1291,plain,
( p1(sK12(sK21))
| p1(sK8(sK12(sK21)))
| ~ spl32_7
| ~ spl32_61 ),
inference(subsumption_resolution,[],[f1288,f460]) ).
fof(f1288,plain,
( ~ sP0(sK21)
| p1(sK8(sK12(sK21)))
| p1(sK12(sK21))
| ~ spl32_7
| ~ spl32_61 ),
inference(resolution,[],[f1197,f69]) ).
fof(f1197,plain,
( ! [X8] :
( ~ r1(sK10(sK21),X8)
| p1(X8)
| p1(sK8(X8)) )
| ~ spl32_7
| ~ spl32_61 ),
inference(resolution,[],[f1174,f1048]) ).
fof(f1048,plain,
( ! [X4,X5] :
( ~ r1(sK21,X5)
| p1(sK8(X4))
| p1(X4)
| ~ r1(X5,X4) )
| ~ spl32_7 ),
inference(resolution,[],[f164,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(sK8(X2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f1319,plain,
( ! [X0] :
( ~ r1(sK8(sK12(sK21)),X0)
| p1(X0)
| ~ p1(sK8(sK12(sK21))) )
| ~ spl32_7
| ~ spl32_61
| spl32_157
| ~ spl32_158 ),
inference(resolution,[],[f1312,f1217]) ).
fof(f1217,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK21),X0)
| p1(X1)
| ~ p1(X0)
| ~ r1(X0,X1) )
| ~ spl32_158 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1216,plain,
( spl32_158
<=> ! [X0,X1] :
( ~ p1(X0)
| p1(X1)
| ~ r1(sK12(sK21),X0)
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_158])]) ).
fof(f1312,plain,
( r1(sK12(sK21),sK8(sK12(sK21)))
| ~ spl32_7
| ~ spl32_61
| spl32_157 ),
inference(subsumption_resolution,[],[f1311,f460]) ).
fof(f1311,plain,
( r1(sK12(sK21),sK8(sK12(sK21)))
| ~ sP0(sK21)
| ~ spl32_7
| ~ spl32_61
| spl32_157 ),
inference(subsumption_resolution,[],[f1309,f1213]) ).
fof(f1309,plain,
( r1(sK12(sK21),sK8(sK12(sK21)))
| p1(sK12(sK21))
| ~ sP0(sK21)
| ~ spl32_7
| ~ spl32_61 ),
inference(resolution,[],[f1196,f69]) ).
fof(f1196,plain,
( ! [X7] :
( ~ r1(sK10(sK21),X7)
| p1(X7)
| r1(X7,sK8(X7)) )
| ~ spl32_7
| ~ spl32_61 ),
inference(resolution,[],[f1174,f1047]) ).
fof(f1047,plain,
( ! [X2,X3] :
( ~ r1(sK21,X3)
| r1(X2,sK8(X2))
| ~ r1(X3,X2)
| p1(X2) )
| ~ spl32_7 ),
inference(resolution,[],[f164,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| p1(X2)
| ~ r1(X1,X2)
| r1(X2,sK8(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f1228,plain,
( ~ spl32_61
| ~ spl32_157 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1227,plain,
( $false
| ~ spl32_61
| ~ spl32_157 ),
inference(subsumption_resolution,[],[f1226,f460]) ).
fof(f1226,plain,
( ~ sP0(sK21)
| ~ spl32_157 ),
inference(resolution,[],[f1214,f70]) ).
fof(f70,plain,
! [X0] :
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1214,plain,
( p1(sK12(sK21))
| ~ spl32_157 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1218,plain,
( spl32_157
| spl32_158
| ~ spl32_61 ),
inference(avatar_split_clause,[],[f1210,f458,f1216,f1212]) ).
fof(f1210,plain,
( ! [X0,X1] :
( ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK12(sK21),X0)
| p1(X1)
| p1(sK12(sK21)) )
| ~ spl32_61 ),
inference(subsumption_resolution,[],[f1209,f460]) ).
fof(f1209,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK21),X0)
| p1(sK12(sK21))
| ~ r1(X0,X1)
| ~ sP0(sK21)
| p1(X1)
| ~ p1(X0) )
| ~ spl32_61 ),
inference(resolution,[],[f1173,f69]) ).
fof(f1173,plain,
( ! [X3,X4,X5] :
( ~ r1(sK10(sK21),X3)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| p1(X5)
| ~ p1(X4)
| p1(X3) )
| ~ spl32_61 ),
inference(resolution,[],[f460,f71]) ).
fof(f71,plain,
! [X2,X3,X0,X4] :
( ~ sP0(X0)
| p1(X2)
| ~ r1(X3,X4)
| ~ p1(X3)
| ~ r1(sK10(X0),X2)
| p1(X4)
| ~ r1(X2,X3) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1171,plain,
~ spl32_115,
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1170,plain,
( $false
| ~ spl32_115 ),
inference(subsumption_resolution,[],[f1169,f95]) ).
fof(f1169,plain,
( ~ r1(sK20,sK21)
| ~ spl32_115 ),
inference(resolution,[],[f1168,f97]) ).
fof(f1168,plain,
( ! [X0] :
( ~ r1(X0,sK24)
| ~ r1(sK20,X0) )
| ~ spl32_115 ),
inference(resolution,[],[f1167,f92]) ).
fof(f1167,plain,
( ! [X0,X1] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK24) )
| ~ spl32_115 ),
inference(resolution,[],[f836,f91]) ).
fof(f836,plain,
( ! [X2,X3,X4] :
( ~ r1(sK13,X4)
| ~ r1(X4,X2)
| ~ r1(X2,X3)
| ~ r1(X3,sK24) )
| ~ spl32_115 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl32_115
<=> ! [X4,X2,X3] :
( ~ r1(sK13,X4)
| ~ r1(X4,X2)
| ~ r1(X2,X3)
| ~ r1(X3,sK24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).
fof(f1045,plain,
( ~ spl32_6
| spl32_25
| ~ spl32_28
| ~ spl32_129 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1044,plain,
( $false
| ~ spl32_6
| spl32_25
| ~ spl32_28
| ~ spl32_129 ),
inference(subsumption_resolution,[],[f1043,f268]) ).
fof(f268,plain,
( ~ p1(sK17(sK21))
| spl32_25 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl32_25
<=> p1(sK17(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f1043,plain,
( p1(sK17(sK21))
| ~ spl32_6
| ~ spl32_28
| ~ spl32_129 ),
inference(subsumption_resolution,[],[f1042,f160]) ).
fof(f160,plain,
( r1(sK21,sK17(sK21))
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl32_6
<=> r1(sK21,sK17(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f1042,plain,
( ~ r1(sK21,sK17(sK21))
| p1(sK17(sK21))
| ~ spl32_28
| ~ spl32_129 ),
inference(resolution,[],[f1040,f100]) ).
fof(f100,plain,
! [X24] :
( ~ p1(sK23(X24))
| p1(X24)
| ~ r1(sK21,X24) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1040,plain,
( p1(sK23(sK17(sK21)))
| ~ spl32_28
| ~ spl32_129 ),
inference(resolution,[],[f963,f283]) ).
fof(f283,plain,
( r1(sK22(sK17(sK21)),sK23(sK17(sK21)))
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl32_28
<=> r1(sK22(sK17(sK21)),sK23(sK17(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f963,plain,
( ! [X4] :
( ~ r1(sK22(sK17(sK21)),X4)
| p1(X4) )
| ~ spl32_129 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f956,plain,
( spl32_25
| spl32_27
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f909,f158,f276,f267]) ).
fof(f909,plain,
( p1(sK22(sK17(sK21)))
| p1(sK17(sK21))
| ~ spl32_6 ),
inference(resolution,[],[f160,f101]) ).
fof(f101,plain,
! [X24] :
( ~ r1(sK21,X24)
| p1(X24)
| p1(sK22(X24)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f947,plain,
( spl32_28
| spl32_25
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f908,f158,f267,f281]) ).
fof(f908,plain,
( p1(sK17(sK21))
| r1(sK22(sK17(sK21)),sK23(sK17(sK21)))
| ~ spl32_6 ),
inference(resolution,[],[f160,f99]) ).
fof(f99,plain,
! [X24] :
( ~ r1(sK21,X24)
| r1(sK22(X24),sK23(X24))
| p1(X24) ),
inference(cnf_transformation,[],[f53]) ).
fof(f946,plain,
( spl32_25
| spl32_26
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f907,f158,f271,f267]) ).
fof(f907,plain,
( r1(sK17(sK21),sK22(sK17(sK21)))
| p1(sK17(sK21))
| ~ spl32_6 ),
inference(resolution,[],[f160,f98]) ).
fof(f98,plain,
! [X24] :
( ~ r1(sK21,X24)
| p1(X24)
| r1(X24,sK22(X24)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f945,plain,
( spl32_96
| spl32_7
| ~ spl32_25 ),
inference(avatar_split_clause,[],[f944,f267,f162,f683]) ).
fof(f944,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ r1(X1,sK21) )
| spl32_7
| ~ spl32_25 ),
inference(subsumption_resolution,[],[f943,f163]) ).
fof(f163,plain,
( ~ sP1(sK21)
| spl32_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f943,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ r1(X1,sK21)
| sP1(sK21) )
| ~ spl32_25 ),
inference(resolution,[],[f269,f106]) ).
fof(f106,plain,
! [X11,X12,X13] :
( ~ p1(sK17(X13))
| ~ r1(X11,X12)
| ~ r1(sK13,X11)
| ~ r1(X12,X13)
| sP1(X13) ),
inference(cnf_transformation,[],[f53]) ).
fof(f269,plain,
( p1(sK17(sK21))
| ~ spl32_25 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f837,plain,
( spl32_16
| spl32_115
| ~ spl32_15 ),
inference(avatar_split_clause,[],[f833,f208,f835,f212]) ).
fof(f212,plain,
( spl32_16
<=> ! [X2,X3] :
( p1(X3)
| ~ r1(sK24,X2)
| ~ r1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f208,plain,
( spl32_15
<=> r1(sK24,sK18(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f833,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK13,X4)
| p1(X0)
| ~ r1(X2,X3)
| ~ r1(X3,sK24)
| ~ r1(sK24,X1)
| ~ r1(X1,X0)
| ~ r1(X4,X2) )
| ~ spl32_15 ),
inference(resolution,[],[f832,f102]) ).
fof(f102,plain,
! [X11,X18,X19,X17,X12,X13] :
( ~ p1(sK18(X17))
| p1(X19)
| ~ r1(X18,X19)
| ~ r1(X12,X13)
| ~ r1(X17,X18)
| ~ r1(X13,X17)
| ~ r1(sK13,X11)
| ~ r1(X11,X12) ),
inference(cnf_transformation,[],[f53]) ).
fof(f832,plain,
( p1(sK18(sK24))
| ~ spl32_15 ),
inference(resolution,[],[f210,f96]) ).
fof(f210,plain,
( r1(sK24,sK18(sK24))
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f830,plain,
( spl32_62
| ~ spl32_16
| ~ spl32_56
| spl32_61
| ~ spl32_83
| ~ spl32_84 ),
inference(avatar_split_clause,[],[f829,f579,f574,f458,f435,f212,f462]) ).
fof(f462,plain,
( spl32_62
<=> ! [X1] :
( p1(X1)
| ~ r1(sK21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
fof(f574,plain,
( spl32_83
<=> ! [X1] :
( r1(sK4(X1),sK5(X1))
| ~ r1(sK21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).
fof(f579,plain,
( spl32_84
<=> ! [X1] :
( r1(X1,sK4(X1))
| ~ r1(sK21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
fof(f829,plain,
( ! [X0] :
( p1(X0)
| ~ r1(sK21,X0) )
| ~ spl32_16
| ~ spl32_56
| spl32_61
| ~ spl32_83
| ~ spl32_84 ),
inference(subsumption_resolution,[],[f828,f437]) ).
fof(f437,plain,
( p1(sK21)
| ~ spl32_56 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f828,plain,
( ! [X0] :
( p1(X0)
| ~ p1(sK21)
| ~ r1(sK21,X0) )
| ~ spl32_16
| spl32_61
| ~ spl32_83
| ~ spl32_84 ),
inference(subsumption_resolution,[],[f827,f459]) ).
fof(f459,plain,
( ~ sP0(sK21)
| spl32_61 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f827,plain,
( ! [X0] :
( ~ r1(sK21,X0)
| sP0(sK21)
| ~ p1(sK21)
| p1(X0) )
| ~ spl32_16
| ~ spl32_83
| ~ spl32_84 ),
inference(subsumption_resolution,[],[f826,f138]) ).
fof(f138,plain,
sP3(sK21),
inference(resolution,[],[f137,f95]) ).
fof(f137,plain,
! [X0] :
( ~ r1(sK20,X0)
| sP3(X0) ),
inference(resolution,[],[f135,f92]) ).
fof(f135,plain,
! [X0,X1] :
( ~ r1(sK19,X0)
| ~ r1(X0,X1)
| sP3(X1) ),
inference(resolution,[],[f104,f91]) ).
fof(f104,plain,
! [X11,X12,X13] :
( ~ r1(sK13,X11)
| ~ r1(X12,X13)
| sP3(X13)
| ~ r1(X11,X12) ),
inference(cnf_transformation,[],[f53]) ).
fof(f826,plain,
( ! [X0] :
( ~ sP3(sK21)
| p1(X0)
| ~ p1(sK21)
| ~ r1(sK21,X0)
| sP0(sK21) )
| ~ spl32_16
| ~ spl32_83
| ~ spl32_84 ),
inference(resolution,[],[f825,f97]) ).
fof(f825,plain,
( ! [X0,X1] :
( ~ r1(X0,sK24)
| ~ p1(X0)
| ~ sP3(X0)
| p1(X1)
| sP0(X0)
| ~ r1(X0,X1) )
| ~ spl32_16
| ~ spl32_83
| ~ spl32_84 ),
inference(resolution,[],[f824,f56]) ).
fof(f56,plain,
! [X0,X1,X4] :
( ~ p1(sK5(X1))
| sP0(X0)
| ~ sP3(X0)
| ~ r1(X0,X4)
| ~ p1(X0)
| ~ r1(X0,X1)
| p1(X4) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( r1(sK4(X1),sK5(X1))
& ~ p1(sK5(X1))
& p1(sK4(X1))
& r1(X1,sK4(X1)) ) )
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ p1(X0)
| sP0(X0)
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f13,f15,f14]) ).
fof(f14,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p1(X3) )
& p1(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( r1(sK4(X1),X3)
& ~ p1(X3) )
& p1(sK4(X1))
& r1(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X1] :
( ? [X3] :
( r1(sK4(X1),X3)
& ~ p1(X3) )
=> ( r1(sK4(X1),sK5(X1))
& ~ p1(sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p1(X3) )
& p1(X2)
& r1(X1,X2) ) )
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ p1(X0)
| sP0(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X33] :
( ! [X46] :
( ~ r1(X33,X46)
| ? [X47] :
( ? [X48] :
( r1(X47,X48)
& ~ p1(X48) )
& p1(X47)
& r1(X46,X47) ) )
| ! [X45] :
( p1(X45)
| ~ r1(X33,X45) )
| ~ p1(X33)
| sP0(X33)
| ~ sP3(X33) ),
inference(nnf_transformation,[],[f10]) ).
fof(f824,plain,
( p1(sK5(sK24))
| ~ spl32_16
| ~ spl32_83
| ~ spl32_84 ),
inference(resolution,[],[f822,f799]) ).
fof(f799,plain,
( ! [X0] :
( ~ r1(sK4(sK24),X0)
| p1(X0) )
| ~ spl32_16
| ~ spl32_84 ),
inference(resolution,[],[f797,f213]) ).
fof(f213,plain,
( ! [X2,X3] :
( ~ r1(sK24,X2)
| p1(X3)
| ~ r1(X2,X3) )
| ~ spl32_16 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f797,plain,
( r1(sK24,sK4(sK24))
| ~ spl32_84 ),
inference(resolution,[],[f580,f97]) ).
fof(f580,plain,
( ! [X1] :
( ~ r1(sK21,X1)
| r1(X1,sK4(X1)) )
| ~ spl32_84 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f822,plain,
( r1(sK4(sK24),sK5(sK24))
| ~ spl32_83 ),
inference(resolution,[],[f575,f97]) ).
fof(f575,plain,
( ! [X1] :
( ~ r1(sK21,X1)
| r1(sK4(X1),sK5(X1)) )
| ~ spl32_83 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f795,plain,
( spl32_62
| spl32_84
| ~ spl32_56
| spl32_61 ),
inference(avatar_split_clause,[],[f794,f458,f435,f579,f462]) ).
fof(f794,plain,
( ! [X0,X1] :
( ~ r1(sK21,X1)
| r1(X1,sK4(X1))
| p1(X0)
| ~ r1(sK21,X0) )
| ~ spl32_56
| spl32_61 ),
inference(subsumption_resolution,[],[f793,f437]) ).
fof(f793,plain,
( ! [X0,X1] :
( r1(X1,sK4(X1))
| p1(X0)
| ~ r1(sK21,X1)
| ~ p1(sK21)
| ~ r1(sK21,X0) )
| spl32_61 ),
inference(subsumption_resolution,[],[f465,f459]) ).
fof(f465,plain,
! [X0,X1] :
( ~ r1(sK21,X0)
| p1(X0)
| ~ r1(sK21,X1)
| sP0(sK21)
| r1(X1,sK4(X1))
| ~ p1(sK21) ),
inference(resolution,[],[f54,f138]) ).
fof(f54,plain,
! [X0,X1,X4] :
( ~ sP3(X0)
| ~ r1(X0,X4)
| p1(X4)
| ~ p1(X0)
| ~ r1(X0,X1)
| r1(X1,sK4(X1))
| sP0(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f792,plain,
( spl32_56
| spl32_105
| spl32_55
| ~ spl32_66
| ~ spl32_70 ),
inference(avatar_split_clause,[],[f791,f504,f486,f432,f744,f435]) ).
fof(f791,plain,
( ! [X2,X3] :
( r1(X3,sK6(X3))
| ~ r1(sK21,X3)
| ~ r1(sK22(sK7(sK21)),X2)
| p1(sK21)
| p1(X2) )
| ~ spl32_66
| ~ spl32_70 ),
inference(subsumption_resolution,[],[f740,f141]) ).
fof(f740,plain,
( ! [X2,X3] :
( p1(sK21)
| ~ r1(sK21,X3)
| r1(X3,sK6(X3))
| ~ r1(sK22(sK7(sK21)),X2)
| ~ sP2(sK21)
| p1(X2) )
| ~ spl32_66
| ~ spl32_70 ),
inference(subsumption_resolution,[],[f731,f506]) ).
fof(f731,plain,
( ! [X2,X3] :
( ~ r1(sK21,X3)
| p1(sK21)
| r1(X3,sK6(X3))
| ~ r1(sK22(sK7(sK21)),X2)
| p1(X2)
| ~ sP2(sK21)
| ~ p1(sK22(sK7(sK21))) )
| ~ spl32_66 ),
inference(resolution,[],[f488,f58]) ).
fof(f58,plain,
! [X0,X1,X4,X5] :
( ~ r1(sK7(X0),X4)
| ~ p1(X4)
| p1(X5)
| ~ sP2(X0)
| p1(X0)
| ~ r1(X4,X5)
| ~ r1(X0,X1)
| r1(X1,sK6(X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f790,plain,
( ~ spl32_54
| spl32_64
| ~ spl32_69
| ~ spl32_105 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl32_54
| spl32_64
| ~ spl32_69
| ~ spl32_105 ),
inference(subsumption_resolution,[],[f788,f479]) ).
fof(f479,plain,
( ~ p1(sK7(sK21))
| spl32_64 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f788,plain,
( p1(sK7(sK21))
| ~ spl32_54
| ~ spl32_69
| ~ spl32_105 ),
inference(subsumption_resolution,[],[f787,f430]) ).
fof(f430,plain,
( r1(sK21,sK7(sK21))
| ~ spl32_54 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f787,plain,
( ~ r1(sK21,sK7(sK21))
| p1(sK7(sK21))
| ~ spl32_69
| ~ spl32_105 ),
inference(resolution,[],[f782,f100]) ).
fof(f782,plain,
( p1(sK23(sK7(sK21)))
| ~ spl32_69
| ~ spl32_105 ),
inference(resolution,[],[f745,f501]) ).
fof(f501,plain,
( r1(sK22(sK7(sK21)),sK23(sK7(sK21)))
| ~ spl32_69 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl32_69
<=> r1(sK22(sK7(sK21)),sK23(sK7(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).
fof(f745,plain,
( ! [X2] :
( ~ r1(sK22(sK7(sK21)),X2)
| p1(X2) )
| ~ spl32_105 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f649,plain,
( spl32_70
| ~ spl32_54
| spl32_64 ),
inference(avatar_split_clause,[],[f648,f478,f428,f504]) ).
fof(f648,plain,
( p1(sK22(sK7(sK21)))
| ~ spl32_54
| spl32_64 ),
inference(subsumption_resolution,[],[f633,f479]) ).
fof(f633,plain,
( p1(sK22(sK7(sK21)))
| p1(sK7(sK21))
| ~ spl32_54 ),
inference(resolution,[],[f430,f101]) ).
fof(f645,plain,
( spl32_55
| spl32_56
| ~ spl32_64 ),
inference(avatar_split_clause,[],[f644,f478,f435,f432]) ).
fof(f644,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK21,X0) )
| spl32_56
| ~ spl32_64 ),
inference(subsumption_resolution,[],[f643,f436]) ).
fof(f643,plain,
( ! [X0] :
( p1(sK21)
| r1(X0,sK6(X0))
| ~ r1(sK21,X0) )
| ~ spl32_64 ),
inference(subsumption_resolution,[],[f641,f141]) ).
fof(f641,plain,
( ! [X0] :
( r1(X0,sK6(X0))
| ~ r1(sK21,X0)
| ~ sP2(sK21)
| p1(sK21) )
| ~ spl32_64 ),
inference(resolution,[],[f480,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ p1(sK7(X0))
| r1(X1,sK6(X1))
| ~ sP2(X0)
| p1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f630,plain,
~ spl32_62,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl32_62 ),
inference(subsumption_resolution,[],[f627,f93]) ).
fof(f93,plain,
~ p1(sK25),
inference(cnf_transformation,[],[f53]) ).
fof(f627,plain,
( p1(sK25)
| ~ spl32_62 ),
inference(resolution,[],[f463,f94]) ).
fof(f94,plain,
r1(sK21,sK25),
inference(cnf_transformation,[],[f53]) ).
fof(f463,plain,
( ! [X1] :
( ~ r1(sK21,X1)
| p1(X1) )
| ~ spl32_62 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f576,plain,
( spl32_61
| ~ spl32_56
| spl32_83
| spl32_62 ),
inference(avatar_split_clause,[],[f508,f462,f574,f435,f458]) ).
fof(f508,plain,
! [X0,X1] :
( p1(X0)
| r1(sK4(X1),sK5(X1))
| ~ p1(sK21)
| ~ r1(sK21,X0)
| ~ r1(sK21,X1)
| sP0(sK21) ),
inference(resolution,[],[f57,f138]) ).
fof(f57,plain,
! [X0,X1,X4] :
( ~ sP3(X0)
| sP0(X0)
| p1(X4)
| r1(sK4(X1),sK5(X1))
| ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(X0,X4) ),
inference(cnf_transformation,[],[f16]) ).
fof(f502,plain,
( spl32_69
| spl32_64
| ~ spl32_54 ),
inference(avatar_split_clause,[],[f470,f428,f478,f499]) ).
fof(f470,plain,
( p1(sK7(sK21))
| r1(sK22(sK7(sK21)),sK23(sK7(sK21)))
| ~ spl32_54 ),
inference(resolution,[],[f430,f99]) ).
fof(f489,plain,
( spl32_66
| spl32_64
| ~ spl32_54 ),
inference(avatar_split_clause,[],[f471,f428,f478,f486]) ).
fof(f471,plain,
( p1(sK7(sK21))
| r1(sK7(sK21),sK22(sK7(sK21)))
| ~ spl32_54 ),
inference(resolution,[],[f430,f98]) ).
fof(f438,plain,
( spl32_54
| spl32_55
| spl32_56 ),
inference(avatar_split_clause,[],[f413,f435,f432,f428]) ).
fof(f413,plain,
! [X0] :
( p1(sK21)
| r1(X0,sK6(X0))
| r1(sK21,sK7(sK21))
| ~ r1(sK21,X0) ),
inference(resolution,[],[f60,f141]) ).
fof(f60,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| ~ r1(X0,X1)
| p1(X0)
| r1(X1,sK6(X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f214,plain,
( spl32_15
| spl32_16 ),
inference(avatar_split_clause,[],[f206,f212,f208]) ).
fof(f206,plain,
! [X2,X3] :
( p1(X3)
| ~ r1(X2,X3)
| r1(sK24,sK18(sK24))
| ~ r1(sK24,X2) ),
inference(resolution,[],[f203,f97]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ r1(sK21,X2)
| ~ r1(X0,X1)
| r1(X2,sK18(X2))
| p1(X1)
| ~ r1(X2,X0) ),
inference(resolution,[],[f202,f95]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK20,X1)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| p1(X3)
| r1(X0,sK18(X0))
| ~ r1(X1,X0) ),
inference(resolution,[],[f201,f92]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK19,X3)
| r1(X2,sK18(X2))
| ~ r1(X3,X4)
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| p1(X1)
| ~ r1(X4,X2) ),
inference(resolution,[],[f103,f91]) ).
fof(f103,plain,
! [X11,X18,X19,X17,X12,X13] :
( ~ r1(sK13,X11)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X11,X12)
| p1(X19)
| ~ r1(X13,X17)
| ~ r1(X12,X13)
| r1(X17,sK18(X17)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
( spl32_6
| spl32_7 ),
inference(avatar_split_clause,[],[f156,f162,f158]) ).
fof(f156,plain,
( sP1(sK21)
| r1(sK21,sK17(sK21)) ),
inference(resolution,[],[f155,f95]) ).
fof(f155,plain,
! [X0] :
( ~ r1(sK20,X0)
| sP1(X0)
| r1(X0,sK17(X0)) ),
inference(resolution,[],[f140,f92]) ).
fof(f140,plain,
! [X0,X1] :
( ~ r1(sK19,X0)
| sP1(X1)
| ~ r1(X0,X1)
| r1(X1,sK17(X1)) ),
inference(resolution,[],[f108,f91]) ).
fof(f108,plain,
! [X11,X12,X13] :
( ~ r1(sK13,X11)
| ~ r1(X12,X13)
| sP1(X13)
| ~ r1(X11,X12)
| r1(X13,sK17(X13)) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL640+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:21:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (18130)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (18122)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (18123)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (18115)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (18115)Instruction limit reached!
% 0.20/0.50 % (18115)------------------------------
% 0.20/0.50 % (18115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18115)Termination reason: Unknown
% 0.20/0.50 % (18115)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (18115)Memory used [KB]: 1023
% 0.20/0.50 % (18115)Time elapsed: 0.004 s
% 0.20/0.50 % (18115)Instructions burned: 3 (million)
% 0.20/0.50 % (18115)------------------------------
% 0.20/0.50 % (18115)------------------------------
% 0.20/0.50 % (18114)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (18113)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (18121)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (18131)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (18114)Instruction limit reached!
% 0.20/0.51 % (18114)------------------------------
% 0.20/0.51 % (18114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18114)Termination reason: Unknown
% 0.20/0.51 % (18114)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (18114)Memory used [KB]: 5628
% 0.20/0.51 % (18114)Time elapsed: 0.102 s
% 0.20/0.51 % (18114)Instructions burned: 7 (million)
% 0.20/0.51 % (18114)------------------------------
% 0.20/0.51 % (18114)------------------------------
% 0.20/0.51 % (18132)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.52 % (18119)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (18125)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (18129)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (18109)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (18116)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (18126)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (18124)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (18127)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (18117)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (18111)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (18133)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (18135)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (18136)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (18112)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (18110)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.53 TRYING [3]
% 1.45/0.53 % (18107)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.45/0.54 % (18118)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (18108)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.54 TRYING [1]
% 1.45/0.54 % (18134)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.45/0.55 % (18128)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.55 % (18120)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.55 % (18108)Refutation not found, incomplete strategy% (18108)------------------------------
% 1.45/0.55 % (18108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (18108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (18108)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55
% 1.45/0.55 % (18108)Memory used [KB]: 5628
% 1.45/0.55 % (18108)Time elapsed: 0.131 s
% 1.45/0.55 % (18108)Instructions burned: 6 (million)
% 1.45/0.55 % (18108)------------------------------
% 1.45/0.55 % (18108)------------------------------
% 1.59/0.56 % (18109)Instruction limit reached!
% 1.59/0.56 % (18109)------------------------------
% 1.59/0.56 % (18109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 TRYING [4]
% 1.59/0.57 % (18113)Instruction limit reached!
% 1.59/0.57 % (18113)------------------------------
% 1.59/0.57 % (18113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (18113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (18113)Termination reason: Unknown
% 1.59/0.57 % (18113)Termination phase: Finite model building SAT solving
% 1.59/0.57
% 1.59/0.57 % (18113)Memory used [KB]: 6780
% 1.59/0.57 % (18113)Time elapsed: 0.160 s
% 1.59/0.57 % (18113)Instructions burned: 53 (million)
% 1.59/0.57 % (18113)------------------------------
% 1.59/0.57 % (18113)------------------------------
% 1.59/0.57 TRYING [1]
% 1.59/0.57 TRYING [2]
% 1.59/0.57 TRYING [2]
% 1.59/0.57 TRYING [3]
% 1.59/0.57 % (18109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (18109)Termination reason: Unknown
% 1.59/0.57 % (18109)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (18109)Memory used [KB]: 1407
% 1.59/0.57 % (18109)Time elapsed: 0.163 s
% 1.59/0.57 % (18109)Instructions burned: 37 (million)
% 1.59/0.57 % (18109)------------------------------
% 1.59/0.57 % (18109)------------------------------
% 1.59/0.59 % (18117)Instruction limit reached!
% 1.59/0.59 % (18117)------------------------------
% 1.59/0.59 % (18117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (18117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (18117)Termination reason: Unknown
% 1.59/0.59 % (18117)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (18117)Memory used [KB]: 7419
% 1.59/0.59 % (18117)Time elapsed: 0.189 s
% 1.59/0.59 % (18117)Instructions burned: 50 (million)
% 1.59/0.59 % (18117)------------------------------
% 1.59/0.59 % (18117)------------------------------
% 1.59/0.60 % (18130)First to succeed.
% 1.59/0.60 TRYING [4]
% 1.59/0.60 TRYING [3]
% 1.59/0.60 % (18111)Instruction limit reached!
% 1.59/0.60 % (18111)------------------------------
% 1.59/0.60 % (18111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (18111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (18111)Termination reason: Unknown
% 1.59/0.60 % (18111)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (18111)Memory used [KB]: 6780
% 1.59/0.60 % (18111)Time elapsed: 0.208 s
% 1.59/0.60 % (18111)Instructions burned: 52 (million)
% 1.59/0.60 % (18111)------------------------------
% 1.59/0.60 % (18111)------------------------------
% 1.59/0.62 % (18121)Instruction limit reached!
% 1.59/0.62 % (18121)------------------------------
% 1.59/0.62 % (18121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (18121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (18121)Termination reason: Unknown
% 1.59/0.62 % (18121)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (18121)Memory used [KB]: 6140
% 1.59/0.62 % (18121)Time elapsed: 0.036 s
% 1.59/0.62 % (18121)Instructions burned: 69 (million)
% 1.59/0.62 % (18121)------------------------------
% 1.59/0.62 % (18121)------------------------------
% 1.59/0.62 % (18112)Instruction limit reached!
% 1.59/0.62 % (18112)------------------------------
% 1.59/0.62 % (18112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (18112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (18112)Termination reason: Unknown
% 1.59/0.62 % (18112)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (18112)Memory used [KB]: 7036
% 1.59/0.62 % (18112)Time elapsed: 0.218 s
% 1.59/0.62 % (18112)Instructions burned: 48 (million)
% 1.59/0.62 % (18112)------------------------------
% 1.59/0.62 % (18112)------------------------------
% 1.59/0.62 % (18130)Refutation found. Thanks to Tanya!
% 1.59/0.62 % SZS status Theorem for theBenchmark
% 1.59/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.62 % (18130)------------------------------
% 1.59/0.62 % (18130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (18130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (18130)Termination reason: Refutation
% 1.59/0.62
% 1.59/0.62 % (18130)Memory used [KB]: 6524
% 1.59/0.62 % (18130)Time elapsed: 0.208 s
% 1.59/0.62 % (18130)Instructions burned: 46 (million)
% 1.59/0.62 % (18130)------------------------------
% 1.59/0.62 % (18130)------------------------------
% 1.59/0.62 % (18106)Success in time 0.273 s
%------------------------------------------------------------------------------